The generator matrix

 1  1  1  1  1  2  1  2  2  1  1  1  1  1  1
 0 12  0 12  0 12 12 12 12  0  0  0  0  0  0
 0  0  8  0  0  0  0  0  0  0  0  0  0  8  8
 0  0  0  8  0  0  0  0  0  0  0  0  8  8  8
 0  0  0  0  8  0  0  0  0  0  0  0  8  0  8
 0  0  0  0  0  8  0  0  0  0  0  0  8  8  0
 0  0  0  0  0  0  8  0  0  0  0  8  8  8  0
 0  0  0  0  0  0  0  8  0  0  0  8  0  8  8
 0  0  0  0  0  0  0  0  8  0  0  8  8  0  8
 0  0  0  0  0  0  0  0  0  8  0  8  8  8  8
 0  0  0  0  0  0  0  0  0  0  8  8  0  8  0

generates a code of length 15 over Z16 who´s minimum homogenous weight is 6.

Homogenous weight enumerator: w(x)=1x^0+39x^6+141x^8+312x^10+1640x^12+4011x^14+20480x^15+4011x^16+1640x^18+312x^20+141x^22+39x^24+1x^30

The gray image is a code over GF(2) with n=120, k=15 and d=24.
This code was found by Heurico 1.16 in 84.6 seconds.